A note on the Jordan-Hölder theorem

A. Ballester; L. M. Ezquerro

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Displaying similar documents to “A note on the Jordan-Hölder theorem”

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On cover-avoiding subgroups of Sylow subgroups of finite groups

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Solvable groups with many BFC-subgroups.

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We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.

On some properties of pronormal subgroups

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New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.